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Finding the Third Proportional to 25,103 and 54,857

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Solution

The third proportional to 25,103 and 54,857 is: 119,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,103 : 54,857 = 54,857 : x
  2. Step 2: Convert to fraction form
    25,103/54,857 = 54,857/x
  3. Step 3: Cross multiply
    25,103x = 54,857 × 54,857
  4. Step 4: Simplify right side
    25,103x = 3,009,290,449
  5. Step 5: Solve for x
    x = 3,009,290,449/25,103
  6. Step 6: Final answer
    x = 119,877.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.